Originally posted by pxt 1. The least price as possible (less is better)
2. Good IQ on K1 II full frame
3. It is quite common lens and not extra rare item
4. Only K mount (without reduction like M42 lenses)
The discussion has drifted somewhat, I'll try to answer the original question.
Here are a few lenses that fit your requirements and have a good reputation.
All the 50mm lenses of course jump to mind. The cheapest will be the M50 F2, it's good like all 50s but not fantastic. The best bang for your buck would probably be the F50 F1.7, very common and superb. Cheaper, but still common and very good is the A50 F1.4. M50 F1.4 is also pretty good, better than the F2.
That being said, you can use the newer DA50 F1.8 pretty well on full frame, and it's a new lens. I think I'd still select the F50 F1.7 over it, though.
As for zooms, the F35-70 has an excellent reputation, as does the F70-200. Those two lenses can often be purchased for about 120$ USD for the pair, and they're better than they have any right to be.
I'd stay away from most of the FA zooms (except the STAR lenses, which are expensive and excellent). The FA zooms are, mostly but
not always, average or poor. One exception is the FA 100-300mm F4.7-F5.6 (NOT the F4.5 version), which is pretty good and can be purchased for about 100$.
Returning to primes, wider and longer AF primes will cost you more, though most are worth their cost. You can get better value by looking at K or M primes. Especially short teles can be pretty good and relatively inexpensive. If you want wide, also stick to K or M, otherwise you'll pay more.
I hope this helps. I've forgotten several lenses I'm sure, but it gives you an idea.